This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A347745 #10 Oct 03 2021 15:37:37 %S A347745 1,1,2,4,6,9,10,12,13,15,15,16,13,18,17,24,19,25,18,30,24,36,23,37,23, %T A347745 44,29,45,19,43,20,54,30,54,25,60,29,67,29,60,21,70,28,78,38,77,31,88, %U A347745 33,95,44,91,30,100,30,110,42,97,25,109,35,129,49,113,31,135 %N A347745 Number of compositions (ordered partitions) of n into at most 3 noncomposite parts. %C A347745 "Noncomposite" means "1 or a prime". %t A347745 Table[Length@Flatten[Permutations/@IntegerPartitions[n,3,Join[{1},Prime@Range@PrimePi@n]],1],{n,0,65}] (* _Giorgos Kalogeropoulos_, Sep 12 2021 *) %Y A347745 Cf. A008578, A280917, A283762, A347740, A347744. %K A347745 nonn %O A347745 0,3 %A A347745 _Ilya Gutkovskiy_, Sep 11 2021